Factor a2 – 24a + 144.
Question 15 options:

A)

(a – 12)(a – 12)

B)

(a + 12)(a + 12)

C)

(a – 6)(a – 2)

D)

(a + 72)(7a + 2)

Answer:

Similar triangles are sometimes congruent. We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar

CPCTC is the missing reason in step six.

CPCTC states that corresponding part of the congruent triangles are congruent.

Here, Given: ABCD is a quadrilateral,

In which AD ≅ BC and AD║BC

Prove : ABCD is a parallelogram.

Statement                                                  Reason

1. AD ≅ BC; AD║BC                                      1. Given

2.∠CAD and ∠ACD are alternative angles  2. Definition of alternative angles

3. ∠CAD ≅∠ACB                                           3. alternative angles are congruent

4. AC ≅ AC                                                    4. Reflexive property

5.△CAB ≅ △ACB                                           5. SAS congruence postulate

6. .AB ≅ CD                                                   6. CPCTC

7. ABCD is a parallelogram                         7. Parallelogram side theorem

Therefore, CPCTC is six step.

Learn more about parallelogram here:

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Answer:

not parallel

Step-by-step explanation:

Actually they're Perpendicular.

Answer:

1/4

Step-by-step explanation:

using the product-to sum formulas, this is

1/2 (cos(75+15) + cos(75-15))

Answer:

1/4

Step-by-step explanation:

PLATO USER

Answer:

One solution

Step-by-step explanation:

5x-8 = 3x+8

2x = 16

x = 8 = true once

Answer:

x=2

Step-by-step explanation:

5x-8=3x+8

= >

5x-3x=8+8

=8x= 16

therefore x= 16/8

ie) 2

Answer:

full arrow going left from 46

Step-by-step explanation:

Inequalities are used to represent unequal expressions.

The inequality is: [tex]h \le 46[/tex]

The height (h) is said to be no greater than 46 inches.

The text "no greater than" means less than or equal to.

In inequalities, less than or equal to is represented with <=

So, the inequality is:

[tex]h \le 46[/tex]

See attachment for the graph of the inequality.

Read more about inequalities at:

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Answer:

2

Step-by-step explanation:

This expression can be rewritten as

8

----

9

======

 4

 ---

  9

If we now invert the denominator fraction 4/9 and multiply the result, we get:

 8       9

----- * ----- = 2

 9       4

9514 1404 393

Answer:

  10 cups

Step-by-step explanation:

The number of cups in a pitcher can be found by dividing cups by pitchers:

  (15 cups)/(1.5 pitchers) = 10 cups/pitcher

A full pitcher holds 10 cups.

Answer:

$49 / hour

Step-by-step explanation:

343/7 = $49/hour

Answer:

49

Step-by-step explanation:

You do 343÷7 which equals your sum

Answer:

x = 3

Step-by-step explanation:

5x + 2 = 7x – 4

-2x = -6 (Subtraction)

x = 3 (division)

divided by negative from a negative so,

negative/negative = positive.

Answer:

(0,-13/2)

Step-by-step explanation:

Graph down the points and use the midpoint formula, (X1+X2)/2, (Y1+Y2)/2

Answer:

As the x value increases, the y value also increases. So as one increases the other increases.

So your answer is

Greater hours worked, more cakes delivered

Step-by-step explanation:Hope this helps :-)

Answer:

It would be no other than A. :) I got this by putting a very skinny strip of paper and making the graph then, I easily just went from the 0 points and saw how the numbers on each side are both even it would make more sense as A because it is just how this works! :)

Step-by-step explanation:

Given:

The polynomial is

[tex]p(x)=x^3-2x^2+2x[/tex]

To find:

The real and complex zeros of the equation.

Solution:

We have,

[tex]p(x)=x^3-2x^2+2x[/tex]

For zeros, p(x)=0.

[tex]x^3-2x^2+2x=0[/tex]

[tex]x(x^2-2x+2)=0[/tex]

[tex]x(x^2-2x+2)=0[/tex]

[tex]x=0\text{ and }x^2-2x+2=0[/tex]

The real value of x is 0. The equation [tex]x^2-2x+2=0[/tex] will give complex roots. Here, a=1, b=-2 and c=2.

Using quadratic formula, we get

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}[/tex]

[tex]x=\dfrac{2\pm \sqrt{-4}}{2}[/tex]

On further simplification, we get

[tex]x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}[/tex]

[tex]x=\dfrac{2\pm 2i}{2}[/tex]

[tex]x=\dfrac{2(1\pm i)}{2}[/tex]

[tex]x=1\pm i[/tex]

Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.

Answer: A

Step-by-step explanation:

It's on edge i got a 100%

Answer:

log(41)/log(7) OR 1.90839852...

Answer: A 9 min

Step-by-step explanation:  54/6=9

-6-6-6-6-6-6-6-6-6=-54

Answer:

Step-by-step explanation:

Use the power rule for differentiation

[tex]f'(x)=nx^n^-^1[/tex]

[tex]f'(x)=(4\frac{d}{dx} 2x^2^-^1)-(8\frac{d}{dx} 1x^1^-^1)+\frac{d}{dx}2[/tex]

[tex]f'(x) =8x-8[/tex]

The derivative of a constant is always zero

Answer:

m=2

Step-by-step explanation:

I calculated it sorry

Answer:

(x,y)= (4,-4)

Step-by-step explanation:

Thanks me later

Answer:

es 48876256542389087565

Answer: 0.5

Step-by-step explanation:

17 is half of 34 and 1/2 = 0.5

Answer: 0.5  is this second grade

1+3/8=(8+3)/8=11/8 used per day. 5+1/2=(10+1)/2=11/2 available.

(11/2)/(11/8)=(11/2)(8/11)=88/22=4

Answer:

Step-by-step explanation:

red = 25

green = 25 + 35 = 60

yellow = 15

red = 25/5 = 5

green = 60/5 = 12

yellow = 15/5 = 3

Red + green = 5 + 12 = 17 boxes

yellow = 3 boxes

17 - 3 = 14 boxes

There are 14 more boxes of red and green cars than yellow cars.

Answer:

a: cooperative.

b: competitive.

c: cooperative.

d: competitive.

Step-by-step explanation:

The rate of change:

dx/dt

gives information about how the quantity x changes as a function of time.

If dx/dt > 0, the population x increases as the time passes.

if dx/dt < 0, the population x decreases as the time passes.

Now, let's analyze the options:

a) dx/dt= -5x + 2xy

in this case, x represents one population and y represents the other population. Where x and y should only be positive numbers because we can not have a negative population.

Notice that in this case, if y increases, then dx/dt increases.

Then we have cooperative species because the population y helps the growth of population x.

b) dx/dt = 4*x - 2*x*y

Similar to the previous case, but now as the value of y increases, the value of dx/dt decreases, then we have competitive species.

c) dy/dy = -4*y + 3*x*y

Notice that now we have the rate of change of y, in the right side, we can see that as x increases, also the rate of change dy/dt.

Then the population x helps to increase the population y, which means that the species are cooperative.

d) dy/dt = 2*y - x*y

Now as x increases, the value of dy/dt decreases, then these species are competitive.

Answer:

B. 38%

Step-by-step explanation: